A survey analyst claims that more than 60% of adults prefer Brand A. A random sample of n = 400 adults gives p̂ = 0.64. Use α = 0.05. Give the final conclusion about the claim: supported or not supported. (answer with “supported” or “not supported”)

A bike-light company claims that the standard deviation of battery life is less than 2 hours. A random sample of n = 25 lights has sample standard deviation s = 1.5 hours. Use α = 0.05. Give the final conclusion about the claim: supported or not supported. (answer with “supported” or “not supported”)

A sample has n = 26, sample standard deviation s = 4, and claimed σ = 5. What is the chi-square test statistic?

A researcher claims H1: ρ > 0.45. The test fails to reject H0. If this decision is incorrect, what type of error occurred? (answer “Type 1” or “Type 2”)

A hypothesis test involves a population mean with n = 45. Which Excel function should be used for the critical value according to Module 6?

A company claims μ > 5. A sample has x̄ = 5.2, but the test result is fail to reject H0. What should be concluded?

A mean hypothesis test has n = 31. Which critical-value distribution is used?

Claim: The population proportion is less than 0.25. Fill in the missing comparison operator: =, , =, < or >. H1: ρ ___ 0.25

A researcher claims that less than 35% of students text while driving. A random sample of n = 500 students gives p̂ = 0.31. Use α = 0.01. Give the final conclusion about the claim: supported or not supported. (answer with “supported” or “not supported”)

Write the missing complementary hypothesis exactly. Use mu for mean, p for proportion, sigma for std deviation, and sigma2 for variance. Use operators: =, , =, < or >. If H1: μ > 18, then H0 is: